2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/206541In this paper, we investigate the spinor field realizations of the $W_{2,4}$ algebra, making use of the fact that the $W_{2,4}$ algebra can be linearized through the addition of a spin-1 current. And then the nilpotent BRST charges of the spinor non-critical $W_{2,4}$ string were built with these realizations.10 pages, no figures, revtex4 style, accepted by Commun.Theor.PhysHigh Energy Physics - TheorySpinor field realizations of the non-critical $W_{2,4}$ string based on the linear $W_{1,2,4}$ algebratext